Hotel Features. Hampton Inn & Suites Nashville - Green Hills has a spa tub, a 24-hour fitness center, and a seasonal outdoor pool. Complimentary wireless Internet access is available in public areas. The hotel features business amenities including a 24-hour business center and meeting rooms. Guests are served a complimentary breakfast. Additional amenities include laundry facilities, dry cleaning/laundry services, and a safe deposit box at the front desk. Complimentary self parking is available onsite for guests. This is a smoke-free property.